(1):

(n.) A composition irregular in form, like an improvisation; as, Liszt's "Hungarian Rhapsodies."

(2):

(n.) A disconnected series of sentences or statements composed under excitement, and without dependence or natural connection; rambling composition.

(3):

(n.) A recitation or song of a rhapsodist; a portion of an epic poem adapted for recitation, or usually recited, at one time; hence, a division of the Iliad or the Odyssey; - called also a book.